Clock Reasoning Worksheet
How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.
NameDateTime takenScore ___ / 40
- 1.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
- 4.A clock shows 12:33. What time will it show 93 minutes later? (a) 1:56 (b) 2:16 (c) 2:06 (d) 3:06
- 5.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 6.A clock shows 2:16. What time will it show 16 minutes later? (a) 2:22 (b) 2:42 (c) 2:32 (d) 3:32
- 7.A clock shows 9:33. What time will it show 45 minutes later? (a) 11:18 (b) 10:18 (c) 10:08 (d) 10:28
- 8.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
- 9.A clock shows 12:09. What time will it show 137 minutes later? (a) 2:16 (b) 3:26 (c) 2:36 (d) 2:26
- 10.A clock shows 5:09. What time will it show 24 minutes later? (a) 6:33 (b) 5:43 (c) 5:33 (d) 5:23
- 11.A clock shows 3:32. What time will it show 43 minutes later? (a) 4:05 (b) 5:15 (c) 4:15 (d) 4:25
- 12.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 13.A clock shows 1:45. What time will it show 148 minutes later? (a) 4:13 (b) 4:03 (c) 4:23 (d) 5:13
- 14.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
- 15.A clock shows 12:43. What time will it show 80 minutes later? (a) 2:13 (b) 1:53 (c) 3:03 (d) 2:03
- 16.A clock shows 4:34. What time will it show 71 minutes later? (a) 6:45 (b) 5:55 (c) 5:35 (d) 5:45
- 17.A clock shows 8:48. What time will it show 125 minutes later? (a) 10:43 (b) 10:53 (c) 11:53 (d) 11:03
- 18.How many degrees does the hour hand of a clock turn in 147 minutes? =
- 19.A clock shows 4:56. What time will it show 73 minutes later? (a) 7:09 (b) 6:19 (c) 6:09 (d) 5:59
- 20.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 22.A clock shows 10:49. What time will it show 42 minutes later? (a) 11:41 (b) 11:21 (c) 11:31 (d) 12:31
- 23.A clock shows 8:26. What time will it show 54 minutes later? (a) 9:10 (b) 10:20 (c) 9:20 (d) 9:30
- 24.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
- 29.A clock shows 8:50. What time will it show 39 minutes later? (a) 9:39 (b) 10:29 (c) 9:29 (d) 9:19
- 30.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 32.A clock shows 10:43. What time will it show 167 minutes later? (a) 1:30 (b) 1:40 (c) 2:30 (d) 1:20
- 33.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
- 34.A clock shows 12:53. What time will it show 99 minutes later? (a) 2:42 (b) 3:32 (c) 2:22 (d) 2:32
- 35.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 36.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 37.A clock shows 9:56. What time will it show 88 minutes later? (a) 12:24 (b) 11:34 (c) 11:14 (d) 11:24
- 38.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 39.A clock shows 11:36. What time will it show 27 minutes later? (a) 12:03 (b) 12:13 (c) 11:53 (d) 1:03
- 40.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
Answer key
- 22
- 137
- 50.5
- 2:06
- 132
- 2:32
- 10:18
- 68.5
- 2:26
- 5:33
- 4:15
- 294
- 4:13
- 51
- 2:03
- 5:45
- 10:53
- 73.5
- 6:09
- 147.5
- 11.5
- 11:31
- 9:20
- 179
- 165.5
- 120
- 40.5
- 82
- 9:29
- 174
- 75
- 1:30
- 150.5
- 2:32
- 121.5
- 156
- 11:24
- 24
- 12:03
- 9.5
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